Question

Pat is trying to measure the velocity of their robot in an attempt to determine the effectiveness of their alterations to its design. If their original 50.0 cm tall robot moved forward 2.50 m in 10.0 seconds, which measurement on a later design would indicate a faster velocity?

Answer 1

To indicate a faster velocity, Pat's robot would have to cover the same 2.50 meters in less than 10.0 seconds or move a greater distance in the same amount of time during later design tests.

Step-by-step explanation:

Pat is interested in measuring the velocity of their robot to determine if design alterations have made it faster. To calculate velocity, one must divide displacement by the time it takes to cover that displacement. If the original robot moved 2.50 meters in 10.0 seconds, its velocity was 0.25 meters per second (m/s). To indicate a faster velocity in a later design, the robot would have to cover the same distance in less time or cover a greater distance in the same time.

For example, if on a later design test the robot moves 2.50 meters in 8.0 seconds, the new velocity would be 2.50 m divided by 8.0 s, which equals a higher velocity than 0.25 m/s. However, if the robot covers a greater distance, say 3.00 meters, in 10.0 seconds, its new velocity would be 3.00 m divided by 10.0 s, which is also higher than 0.25 m/s. Either one of these measurements would indicate a faster velocity and thus a more effective alteration to the robot's design.